1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natulia [17]
3 years ago
7

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large

Mathematics
2 answers:
Drupady [299]3 years ago
5 0

Answer:

\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

<u>Money</u>

  • A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265.
  • 1.25s+2.50g=265

<u>Number</u>

  • A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155.
  • s+g=155

Here is our system of equations:

1.25s+2.50g=265 \\s+g=155

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

  • Subtract g from both sides of the equation.
  • s+g=155
  • s+g-g=155-g
  • s=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

1.25s +2.50g=265

1.25(155-g)+2.50g=265

Distribute the 1.25

  • 1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

193.75-1.25g+2.50g=265

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

193.75-1.25g+2.50g=265-193.75       (Subtract 193.75)

-1.25g+2.50g=265-193.75      

1.25g=71.25      (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

s+g=155

s+57=155

Subtract 57 from both sides of the equation to isolate the variable, s.

s+57-57=155-57\\s=155-57\\s=98

Ashley sold 57 large cups and 98 small cups.

ololo11 [35]3 years ago
4 0

small cup she sold = x = 98

large cup she sold = y =57

You might be interested in
F = uv/u + v make u the subject
never [62]

I'm assuming that you mean

\dfrac{uv}{u+v}

because if you meant

\dfrac{uv}{u}+v

then u would simplify and you couldn't make it the subject.

Under this assumption, we start with

F=\dfrac{uv}{u+v}

We multiply both sides by u+v

F(u+v)=uv

We expand the left hand side:

Fu+Fv=uv

We move all terms involving u to the left and all terms not involving u to the right:

Fu-uv=-Fv

We factor u on the left hand side:

u(F-v)=-Fv

We divide both sides by F-v

u=\dfrac{-Fv}{F-v}

3 0
3 years ago
In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y th
dsp73

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

7 0
3 years ago
Fix the mistake in my screenshot
mixas84 [53]

Answer:

Step-by-step explanation:

x\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dxXE[_4.2,2.2]

8 0
2 years ago
In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
faust18 [17]

Answer: D

Step-by-step explanation:

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer

3 0
3 years ago
Is the relation shown in the arrow diagram a function?
Irina-Kira [14]

Answer:

Yes. Every unique input has a unique output.

Step-by-step explanation:

Since every input has a different output, therefore it's a function. It's not a function when the input have more than 1 output. When graphing, make sure you take the vertical line test to see whether or not the graph is a function.

4 0
2 years ago
Other questions:
  • Financial math people need help again please help me i have mono and missed a week of this
    5·1 answer
  • Write five numbers that round up to 600<br> write five numbers that round down to 600
    7·1 answer
  • SOLVE for 50 POINTS ... <br><br>First ANSWER = BRAINLIEST
    5·1 answer
  • PLEASE HELP!!!<br><br> what is the value of X? -5x=-35
    10·2 answers
  • Find the smallest value of k such that 16k is a perfect cube.​
    15·2 answers
  • Number 1,3,5,6 please
    8·2 answers
  • EASY 35 POINTS!
    5·1 answer
  • A right rectangular prism has a length of 18 meters, a width of 5 meters, and a height of 6 meters. What is the volume, in cubic
    5·1 answer
  • Giving brainliest to the CORRECT answer
    15·1 answer
  • A store purchased a digital camera and marked it up 100% from the original cost of $863.57. A week later, the store placed the d
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!